The gravitational focusing of light rays in a compact model for the Un
iverse is considered. In a compact space, light can return to its sour
ce. Therefore, it is proposed that light rays emitted by a young, hot
galaxy can return and be focused in the nuclear region of the galaxy,
due to gravitational lensing by density inhomogeneities, such as clust
ers of galaxies. The analysis takes into account changes in the freque
ncy and flux density of the emitted radiation due to the cosmological
expansion of space and to the gravitation of giant density inhomogenei
ties (beats), which may consist of several superclusters of galaxies.
It is shown that the energy flux of the returning radiation decreases
more slowly than the Bur from a source in a uniform and isotropic mode
l. Because of the expansion of space, the ultraviolet radiation of the
galaxy at the epoch of the return of the radiation becomes infrared.
Due to the focusing effect, the Bur of infrared photons is so large th
at they rapidly heat the plasma in the galactic nucleus to relativisti
c temperatures of the order of 10(12) K. Further heating results from
induced Compton scattering on the electrons of the plasma. Compton sca
ttering of the infrared emission on the hot electrons then transforms
this emission into optical, ultraviolet, and X-ray radiation. As a res
ult, a ''Compton reactor'' forms in the nucleus of the galaxy. In this
region, the processes of heating of the plasma by incident infrared r
adiation and cooling of the plasma by the transformation of the incide
nt infrared radiation into higher-frequency radiation by hot electrons
are dynamically balanced. The luminosity of the reactor is two to thr
ee orders of magnitude lower than the luminosity of the young galaxy.
The radiation of the reactor has a characteristic power-law spectrum.
Its properties as a bright, variable nucleus resemble those of quasars
or the nuclei of active galaxies.